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40614372384 = 2534345721529
BaseRepresentation
bin100101110100110011…
…100010010000100000
310212211111002212222020
4211310303202100200
51131134234404014
630354042541440
72635314316635
oct456463422040
9125744085866
1040614372384
1116251833113
127a55807880
133aa3440c11
141d7401618c
1510ca8e31a9
hex974ce2420

40614372384 has 96 divisors (see below), whose sum is σ = 109335885120. Its totient is φ = 13193736192.

The previous prime is 40614372377. The next prime is 40614372397. The reversal of 40614372384 is 48327341604.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1875732 + ... + 1897260.

It is an arithmetic number, because the mean of its divisors is an integer number (1138915470).

Almost surely, 240614372384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40614372384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54667942560).

40614372384 is an abundant number, since it is smaller than the sum of its proper divisors (68721512736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40614372384 is a wasteful number, since it uses less digits than its factorization.

40614372384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22042 (or 22034 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 40614372384 in words is "forty billion, six hundred fourteen million, three hundred seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 457 516 688 914 1032 1371 1376 1828 2064 2742 3656 4128 5484 7312 10968 14624 19651 21529 21936 39302 43058 43872 58953 64587 78604 86116 117906 129174 157208 172232 235812 258348 314416 344464 471624 516696 628832 688928 925747 943248 1033392 1851494 1886496 2066784 2777241 3702988 5554482 7405976 9838753 11108964 14811952 19677506 22217928 29516259 29623904 39355012 44435856 59032518 78710024 88871712 118065036 157420048 236130072 314840096 423066379 472260144 846132758 944520288 1269199137 1692265516 2538398274 3384531032 5076796548 6769062064 10153593096 13538124128 20307186192 40614372384